Abstract

This paper discusses two quantitative and complementary approaches to evaluate the participation of synchronous generators and interconnection buses on local bus frequency variations during electromechanical transients. Both approaches are based on the concept of frequency divider formula recently proposed by the authors on these transactions. A thorough comparison of the two approaches is provided considering several scenarios and three networks, namely the New England 39-bus test system, the all-island 1479-bus Irish transmission system, and the ENTSO-E 21 177-bus transmission system.

Highlights

  • This paper presents a formal procedure to evaluate frequency participation factors (FPF) and proposes quantitative tools to define how the inertia present in the system influences frequency variations at network buses

  • Boundary buses that define the interconnections with external grids or buses at which the frequency is controlled by large non-synchronous generators can be used in (4), provided that accurate frequency measures are available at those buses, e.g., by means of phasor measurement unit (PMU) devices

  • Approach 1 (A1) is 0.604 at bus 1 highlighted in light gray in Table I, one can find 9 buses with equal or lower σDri /σDi in Table II, namely 2, 3, 4, 13, 14, 18, 26, 27, and 33

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Summary

Motivations

The problem of how to define the participation of generators to losses and transmission rights in transmission systems has been under intense research for more than two decades [1]– [10]. The solution of such a problem is relevant in electricity markets where the costs of the utilization of the network should be shared among all participants. To be able to evaluate such participation is relevant as the high penetration of non-synchronous, often renewable, generation leads to a drastic reduction of the inertia and frequency control of the system [11], [12] and, potentially, to a considerable impact on the variation and rate of change of the frequency [13]– [18]. This paper presents a formal procedure to evaluate frequency participation factors (FPF) and proposes quantitative tools to define how the inertia present in the system influences frequency variations at network buses

Rationale and Literature Review
Contributions
Paper Organization
Definition and Properties of the F LG Matrix
Definition and Properties of the D Matrix
PROPOSED APPROACHES TO DEFINE RELEVANT FPFS
Illustrative Example
CASE STUDIES
Irish Transmission System
Discussion of Results
FINAL REMARKS ON THE FPFS
CONCLUSIONS
Full Text
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